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On Asymptotic Expansions in Spin Boson Models

Mathematical Physics 2017-12-21 v2 math.MP

Abstract

We consider expansions of eigenvalues and eigenvectors of models of quantum field theory. For a class of models known as generalized spin boson model we prove the existence of asymptotic expansions of the ground state and the ground state energy to arbitrary order. We need a mild but very natural infrared assumption, which is weaker than the assumption usually needed for other methods such as operator theoretic renormalization to be applicable. The result complements previously shown analyticity properties.

Keywords

Cite

@article{arxiv.1608.06270,
  title  = {On Asymptotic Expansions in Spin Boson Models},
  author = {Gerhard Bräunlich and David Hasler and Markus Lange},
  journal= {arXiv preprint arXiv:1608.06270},
  year   = {2017}
}

Comments

49 pages

R2 v1 2026-06-22T15:26:44.071Z